28956480 has 224 divisors, whose sum is σ = 109240320. Its totient is φ = 6359040.

The previous prime is 28956463. The next prime is 28956509. The reversal of 28956480 is 8465982.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208251 + ... + 208389.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 2^28956480 is an apocalyptic number.

28956480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54620160).

28956480 is an abundant number, since it is smaller than the sum of its proper divisors (80283840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28956480 is a wasteful number, since it uses less digits than its factorization.

28956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 28956480 is about 5381.1225594666. The cubic root of 28956480 is about 307.0779191566.

The spelling of 28956480 in words is "twenty-eight million, nine hundred fifty-six thousand, four hundred eighty".